# Powers and Exponents

A power is the product of multiplying a number by itself.

Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

For example, “6 to the 5th power” may be written as “65.” Here, the base number is 6 and the exponent is 5. This means that 6 is being multiplied by itself 5 times: 6 x 6 x 6 x 6 x 6

6 x 6 x 6 x 6 x 6 = 7,776 or 65 = 7,776

 base number 2nd power 3rd power 4th power 5th power 1 1 1 1 1 2 4 8 16 32 3 9 27 81 243 4 16 64 256 1,024 5 25 125 625 3,125 6 36 216 1,296 7,776 7 49 343 2,401 16,807 8 64 512 4,096 32,768 9 81 729 6,561 59,049 10 100 1,000 10,000 100,000 11 121 1,331 14,641 161,051 12 144 1,728 20,736 248,832

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